1 |
A. Benyi and R. H. Torres, Compact bilinear operators and commutators, Proc. Amer. Math. Soc. 141 (2013), no. 10, 3609-3621. https://doi.org/10.1090/S0002-9939-2013-11689-8
DOI
|
2 |
L. Chaffee and R. H. Torres, Characterization of compactness of the commutators of bilinear fractional integral operators, Potential Anal. 43 (2015), no. 3, 481-494. https://doi.org/10.1007/s11118-015-9481-6
DOI
|
3 |
Y. Chen and Y. Ding, Compactness of commutators of singular integrals with variable kernels, Chinese J. Contemp. Math. 30 (2009), no. 2, 153-166; translated from Chinese Ann. Math. Ser. A 30 (2009), no. 2, 201-212.
|
4 |
R. R. Coifman and C. Fefferman, Weighted norm inequalities for maximal functions and singular integrals, Studia Math. 51 (1974), 241-250. https://doi.org/10.4064/sm-51-3-241-250
DOI
|
5 |
Q. He and P. Li, On weighted compactness of commutators of Schrodinger operators, Preprint, 2021, arXiv: 2102.01277.
|
6 |
T. Iida, A characterization of a multiple weights class, Tokyo J. Math. 35 (2012), no. 2, 375-383. https://doi.org/10.3836/tjm/1358951326
DOI
|
7 |
A. Benyi, W. Damian, K. Moen, and R. H. Torres, Compact bilinear commutators: the weighted case, Michigan Math. J. 64 (2015), no. 1, 39-51. https://doi.org/10.1307/mmj/1427203284
DOI
|
8 |
M. Cao, A. Olivo, and K. Yabuta, Extrapolation for multilinear compact operators and applications, Preprint, 2020, arXiv:2011.13191.
|
9 |
Y. Chen and Y. Ding, Compactness characterization of commutators for Littlewood-Paley operators, Kodai Math. J. 32 (2009), no. 2, 256-323. http://projecteuclid.org/euclid.kmj/1245982907
DOI
|
10 |
R. Bu and J. Chen, Compactness for the commutators of multilinear singular integral operators with non-smooth kernels, Appl. Math. J. Chinese Univ. Ser. B 34 (2019), no. 1, 55-75. https://doi.org/10.1007/s11766-019-3501-z
DOI
|
11 |
T. Iida, Weighted estimates of higher order commutators generated by BMO-functions and the fractional integral operator on Morrey spaces, J. Inequal. Appl. 2016 (2016), Paper No. 4, 23 pp. https://doi.org/10.1186/s13660-015-0953-4
DOI
|
12 |
J. B. Conway, A Course in Functional Analysis, Graduate Texts in Mathematics, 96, Springer-Verlag, New York, 1985. https://doi.org/10.1007/978-1-4757-3828-5
DOI
|
13 |
W. Guo, Y. Wen, H. Wu, and D. Yang, On the compactness of oscillation and variation of commutators, Banach J. Math. Anal. 15 (2021), no. 2, Paper No. 37, 29 pp. https://doi.org/10.1007/s43037-021-00123-z
DOI
|
14 |
Q. He, M. Wei, and D. Yan, Weighted estimates for bilinear fractional integral operators and their commutators on Morrey spaces, Preprint, 2019, arXiv:1905.10946.
|
15 |
T. Iwaniec and C. Sbordone, Riesz transforms and elliptic PDEs with VMO coefficients, J. Anal. Math. 74 (1998), 183-212. https://doi.org/10.1007/BF02819450
DOI
|
16 |
S. S. Kutateladze, Fundamentals of Functional Analysis, Kluwer Texts in the Mathematical Sciences, 12, Kluwer Academic Publishers Group, Dordrecht, 1996. https://doi.org/10.1007/978-94-015-8755-6
DOI
|
17 |
A. Uchiyama, On the compactness of operators of Hankel type, Tohoku Math. J. (2) 30 (1978), no. 1, 163-171. https://doi.org/10.2748/tmj/1178230105
DOI
|
18 |
F. Beatrous and S.-Y. Li, On the boundedness and compactness of operators of Hankel type, J. Funct. Anal. 111 (1993), no. 2, 350-379. https://doi.org/10.1006/jfan.1993.1017
DOI
|
19 |
X. Li, Q. He, and D. Yan, Weighted estimates for bilinear fractional integral operator of iterated product commutators on Morrey spaces, J. Math. Inequal. 14 (2020), no. 4, 1249-1267. https://doi.org/10.7153/jmi-2020-14-81
DOI
|
20 |
K. Moen, Weighted inequalities for multilinear fractional integral operators, Collect. Math. 60 (2009), no. 2, 213-238. https://doi.org/10.1007/BF03191210
DOI
|
21 |
M. M. Rao and Z. D. Ren, Theory of Orlicz spaces, Monographs and Textbooks in Pure and Applied Mathematics, 146, Marcel Dekker, Inc., New York, 1991.
|
22 |
Q. Xue, Weighted estimates for the iterated commutators of multilinear maximal and fractional type operators, Studia Math. 217 (2013), no. 2, 97-122. https://doi.org/10.4064/sm217-2-1
DOI
|
23 |
A. Benyi, W. Damian, K. Moen, and R. H. Torres, Compactness properties of commutators of bilinear fractional integrals, Math. Z. 280 (2015), no. 1-2, 569-582. https://doi.org/10.1007/s00209-015-1437-4
DOI
|
24 |
X. Chen and Q. Xue, Weighted estimates for a class of multilinear fractional type operators, J. Math. Anal. Appl. 362 (2010), no. 2, 355-373. https://doi.org/10.1016/j.jmaa.2009.08.022
DOI
|
25 |
S. G. Krantz and S.-Y. Li, Boundedness and compactness of integral operators on spaces of homogeneous type and applications. I, J. Math. Anal. Appl. 258 (2001), no. 2, 629-641. https://doi.org/10.1006/jmaa.2000.7402
DOI
|
26 |
P. Li and L. Peng, Compact commutators of Riesz transforms associated to Schrodinger operator, Pure Appl. Math. Q. 8 (2012), no. 3, 713-739. https://doi.org/10.4310/PAMQ.2012.v8.n3.a7
DOI
|
27 |
H. Liu and L. Tang, Compactness for higher order commutators of oscillatory singular integral operators, Internat. J. Math. 20 (2009), no. 9, 1137-1146. https://doi.org/10.1142/S0129167X09005698
DOI
|
28 |
A. K. Lerner, S. Ombrosi, C. Perez, R. H. Torres, and R. Trujillo-Gonzalez, New maximal functions and multiple weights for the multilinear Calderon-Zygmund theory, Adv. Math. 220 (2009), no. 4, 1222-1264. https://doi.org/10.1016/j.aim.2008.10.014
DOI
|
29 |
Q. He and D. Yan, Bilinear fractional integral operators on Morrey spaces, Positivity 25 (2021), no. 2, 399-429. https://doi.org/10.1007/s11117-020-00763-9
DOI
|
30 |
B. Muckenhoupt and R. Wheeden, Weighted norm inequalities for fractional integrals, Trans. Amer. Math. Soc. 192 (1974), 261-274. https://doi.org/10.2307/1996833
DOI
|
31 |
Q. Xue, K. Yabuta, and J. Yan, Weighted Frechet-Kolmogorov theorem and compactness of vector-valued multilinear operators, J. Geom. Anal. 31 (2021), no. 10, 9891-9914. https://doi.org/10.1007/s12220-021-00630-3
DOI
|
32 |
S. Wang and Q. Xue, On weighted compactness of commutators of bilinear maximal Calderon-Zygmund singular integral operators, Forum Math. 34 (2022), no. 2, 307-322. https://doi.org/10.1515/forum-2020-0357
DOI
|
33 |
D.-H. Wang, J. Zhou, and Z.-D. Teng, On the compactness of commutators of Hardy-Littlewood maximal operator, Anal. Math. 45 (2019), no. 3, 599-619. https://doi.org/10.1007/s10476-019-0818-z
DOI
|